Multifractal formalism for some parabolic maps

Authors
Nakaishi, K
Citation
K. Nakaishi, Multifractal formalism for some parabolic maps, ERGOD TH DY, 20, 2000, pp. 843-857
Citations number
23
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
20
Year of publication
2000
Part
3
Pages
843 - 857
Database
ISI
SICI code
0143-3857(200006)20:<843:MFFSPM>2.0.ZU;2-Z
Abstract
We study multifractal spectra of a simple class of interval transformations with a neutral fixed point. The analyticity of their spectral curves depen ds on whether the absolutely continuous invariant measure is infinite or no t.